Article ID Journal Published Year Pages File Type
4612576 Journal of Differential Equations 2007 10 Pages PDF
Abstract

We study a reaction–diffusion system of two parabolic differential equations describing the behavior of a nuclear reactor. We provide existence results for nontrivial periodic solutions, nonexistence results for stationary solutions and we prove that, depending on the value of the parameters, either the system admits a compact global attractor, or the solutions are unbounded.

Related Topics
Physical Sciences and Engineering Mathematics Analysis